Problem Der95 20

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Der95 20

stdout:

MAYBE

Problem:
not(not(x)) -> x
not(or(x,y)) -> and(not(not(not(x))),not(not(not(y))))
not(and(x,y)) -> or(not(not(not(x))),not(not(not(y))))

Proof:
Complexity Transformation Processor:
  strict:
   not(not(x)) -> x
   not(or(x,y)) -> and(not(not(not(x))),not(not(not(y))))
   not(and(x,y)) -> or(not(not(not(x))),not(not(not(y))))
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [and](x0, x1) = x0 + x1 + 162,

     [or](x0, x1) = x0 + x1 + 27,

     [not](x0) = x0 + 3
    orientation:
     not(not(x)) = x + 6 >= x = x

     not(or(x,y)) = x + y + 30 >= x + y + 180 = and(not(not(not(x))),not(not(not(y))))

     not(and(x,y)) = x + y + 165 >= x + y + 45 = or(not(not(not(x))),not(not(not(y))))
    problem:
     strict:
      not(or(x,y)) -> and(not(not(not(x))),not(not(not(y))))
     weak:
      not(not(x)) -> x
      not(and(x,y)) -> or(not(not(not(x))),not(not(not(y))))
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Der95 20

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Der95 20

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair1 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair2rc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair2 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3irc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3rc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool rc

Execution Time	Unknown
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'rc (timeout of 60.0 seconds)':
----------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool tup3irc

Execution Time	60.05567ms
Answer	TIMEOUT
Input	Der95 20

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  not(not(x)) -> x
     , not(or(x, y)) -> and(not(not(not(x))), not(not(not(y))))
     , not(and(x, y)) -> or(not(not(not(x))), not(not(not(y))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'tup3 (timeout of 60.0 seconds)':
------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..